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Finding the Fourth Proportional to 12,188.26, 18,283.91 and 4,288.91

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Solution

The fourth proportional to 12,188.26, 18,283.91 and 4,288.91 is: 6,433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.26 : 18,283.91 = 4,288.91 : x
  2. Step 2: Convert to fraction form
    12,188.26/18,283.91 = 4,288.91/x
  3. Step 3: Cross multiply
    12,188.26x = 18,283.91 × 4,288.91
  4. Step 4: Simplify right side
    12,188.26x = 78,418,033.72
  5. Step 5: Solve for x
    x = 78,418,033.72/12,188.26
  6. Step 6: Final answer
    x = 6,433.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.